646_MaximumLengthofPairChain - a920604a/leetcode GitHub Wiki
categories: leetcode comments: false tags:
- dp
- Greedy title: 646. Maximum Length of Pair Chain
- dp
class Solution {
public:
int findLongestChain(vector<vector<int>>& pairs) {
sort( pairs.begin( ), pairs.end( ), [ ]( const vector<int>& lhs, const vector<int>& rhs )
{
return lhs[0] < rhs[0]; // also return lhs[1] < rhs[1];
});
int ret = 1;
int n = pairs.size();
vector<int> dp(n, 1);
for(int i=1;i<n ;++i)
{
vector<int> p = pairs[i];
for(int j = 0;j<i ;++j)
{
vector<int> q = pairs[j];
if( q[1] < p[0])
{
dp[i] = max(dp[i], 1+dp[j]);
ret = max(ret, dp[i]);
}
}
}
return ret;
}
};
- greedy
class Solution {
public:
int findLongestChain(vector<vector<int>>& pairs) {
sort( pairs.begin( ), pairs.end( ), [ ]( const vector<int>& lhs, const vector<int>& rhs )
{
return lhs[1] < rhs[1]; // also return lhs[1] < rhs[1];
});
int ret = 0, cur = INT_MIN;
int n = pairs.size();
vector<int> dp(n, 1);
for (const auto& pair : pairs) {
if (cur < pair[0]) {
cur = pair[1];
ret++;
}
}
return ret;
}
};
- dp solution
- time complexity
O(n^2)
- space complexity
O(n)
- time complexity
- greedy
- time complexity
O(nlogn)
- space complexity
O(1)
- time complexity